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Finding the Fourth Proportional to 9,530.28, 14,296.04 and 2,955.92

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Solution

The fourth proportional to 9,530.28, 14,296.04 and 2,955.92 is: 4,434.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,530.28 : 14,296.04 = 2,955.92 : x
  2. Step 2: Convert to fraction form
    9,530.28/14,296.04 = 2,955.92/x
  3. Step 3: Cross multiply
    9,530.28x = 14,296.04 × 2,955.92
  4. Step 4: Simplify right side
    9,530.28x = 42,257,950.56
  5. Step 5: Solve for x
    x = 42,257,950.56/9,530.28
  6. Step 6: Final answer
    x = 4,434.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.